To factor the expression [tex]\(16 x^2 - 8 x^2\)[/tex]:
1. Combine Like Terms: The expression given is [tex]\(16 x^2 - 8 x^2\)[/tex]. Both terms are multiples of [tex]\(x^2\)[/tex], so we can combine them.
[tex]\[
16 x^2 - 8 x^2 = (16 - 8) x^2
\][/tex]
2. Simplify the Coefficients: Subtract the coefficients [tex]\(16\)[/tex] and [tex]\(8\)[/tex].
[tex]\[
(16 - 8) x^2 = 8 x^2
\][/tex]
3. Final Expression: The simplified and factored expression is
[tex]\[
8 x^2
\][/tex]
So, the factorization of [tex]\(16 x^2 - 8 x^2\)[/tex] is [tex]\(8 x^2\)[/tex].